Quantum statistical calculations and symplectic corrector algorithms

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 69, Issue 4 2, 2004, Pages

  Chin, Siu A ^a  

^a TEXAS A AND M UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTER SIMULATION; ERROR CORRECTION; FUNCTION EVALUATION; MATHEMATICAL OPERATORS; MONTE CARLO METHODS; TIME SERIES ANALYSIS;

CORRECTABILITY; CORRECTORS; PROPAGATORS; TIME STEPPING PROPAGATORS;

QUANTUM THEORY;

EID: 37649032940     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (31)

1. Q. Sheng, IMA J. Numer. Anal. 9, 199 (1989).
2. M. Suzuki, J. Math. Phys. 32, 400 (1991).
3. D. Goldman and T. J. Kaper, SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 33, 349 (1996).
4. R. I. McLachlan and P. Atela, Nonlinearity 5, 542 (1991).
5. R. I. McLachlan, SIAM J. Sci. Comput. (USA) 16, 151 (1995).
6. P. V. Koseleff, in Integration Algorithms and Classical Mechanics (American Mathmatical Society, Providence, RI, 1996), Vol. 10, p. 103.
7. R. I. McLachlan and G. R. W. Quispel, Acta Numerica 11, 241 (2002).
8. M. Suzuki, in Computer Simulation Studies in Condensed Matter Physics VIII, edited by D. Landau, K. Mon, and H. Shuttler (Springier, Berlin, 1996).
9. S. A. Chin, Phys. Lett. A 226, 344 (1997).
10. H. A. Forbert and S. A. Chin, Phys. Rev. E 63, 016703 (2001).
11. H. A. Forbert and S. A. Chin, Phys. Rev. B 63, 144518 (2001).
12. J. Auer, E. Krotscheck, and S. A. Chin, J. Chem. Phys. 115, 6841 (2001).
13. O. Ciftja and S. A. Chin, Phys. Rev. B 68, 134510 (2003).
14. S. Jang, S. Jang, and G. A. Voth, J. Chem. Phys. 115, 7832 (2001).
15. M. Kalos, D. Levesque, and L. Verlet, Phys. Rev. A 9, 2178 (1974).
16. S. A. Chin, Phys. Rev. A 42, 6991 (1990).
17. H. Kleinen, Path Integrals in Quantum Mechanics, Statistics and Polymer Physics (World Scientific, Singapore, 1990).
18. J. Wisdom, M. Holman, and J. Tourna, in Integration Algorithms and Classical Mechanics, edited by J. E. Marsden, G. W. Patrick, and W. F. Shadwick (American Mathematical Society, Providence, RI, 1996).
19. R. I. McLachan, in Integration Algorithms and Classical Mechanics, edited by J. E. Marsden, G. W. Patrick, and W. F. Shadwick (American Mathematical Society, Providence, RI, 1996).
20. M. A. Lopez-Marcos, J. M. Sanz-Serna, and R. D. Skeel, in Numerical Analysis 1995, edited by D. F. Griffiths and G. A. Watson (Longman, Harlow, U.K., 1996), pp. 107-122.
21. M. A. Lopez-Marcos, J. M. Sanz-Serna, and R. D. Skeel, SIAM J. Sci. Comput. (USA) 18, 223 (1997).
22. S. Blanes, F. Casas, and J. Ros, SIAM J. Sci. Comput. (USA) 21, 711 (1999).
23. S. Blanes, Appl. Numer. Math. 37, 289 (2001).
24. M. Suzuki, Phys. Lett. A 201, 425 (1995).
25. M. Takahashi and M. Imada, J. Phys. Soc. Jpn. 53, 3765 (1984).
26. X.-P. Li and J. Q. Broughton, J. Chem. Phys. 86, 5094 (1987).
27. S. A. Chin and C. R. Chen, J. Chem. Phys. 117, 1409 (2002).
28. I. P. Omelyan, I. M. Mryglod, and R. Folk, Phys. Rev. E 66, 026701 (2002).
29. I. P. Omelyan, I. M. Mryglod, and R. Folk, Comput. Phys. Commun. 151, 272 (2003).
30. S. A. Chin and C. R. Chen, e-print astro-ph/0304223.
31. See GIPS preprint at http:/www.focm.net./gi/gips